Honors Algebra 2: Sets of Numbers

Flashcards covering the definitions and classifications of various number sets in the complex and real number systems from Honors Algebra 2.

Complex Numbers

Numbers having the form $a + bi$, where $a$ is the Real part and $b$ is the Imaginary part.

Real Numbers

Numbers represented as points on the real number line.

Imaginary Numbers

Numbers NOT represented on the real number line, defined as square roots of negative numbers.

Rational Numbers

Numbers that can be expressed as a RATIO of two integers: $\frac{a}{b}$, having terminating or repeating decimals.

Irrational Numbers

Numbers that CANNOT be expressed as a ratio of two integers, having infinite non-terminating, non-repeating decimals.

Integers

Counting numbers, their opposites, and $0$.

Non-Integers

Fractions and numbers between the integers.

Whole Numbers

Zero and the natural numbers.

Natural Numbers (Counting)

Positive integers or counting numbers.

Digits

Numbers from which the numerals are made, consisting of $\mathbf{\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9\}}$.

Even Numbers

Integers divisible by $2$; including the number $0$.

Odd Numbers

Integers NOT divisible by $2$.

Zero

Nothing, None, Nada, Nil, Naught/Nought, Zilch, Zip, Diddly-Squat.